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84272256 = 2732191383
BaseRepresentation
bin1010000010111…
…10010010000000
312212120110210200
411001132102000
5133033203011
612210125200
72042205465
oct501362200
9185513720
1084272256
1143629aa2
1224280800
13145c7b53
14b29966c
1575e9856
hex505e480

84272256 has 96 divisors (see below), whose sum is σ = 244408320. Its totient is φ = 27870720.

The previous prime is 84272249. The next prime is 84272257. The reversal of 84272256 is 65227248.

84272256 is a `hidden beast` number, since 8 + 427 + 225 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 84272256.

It is not an unprimeable number, because it can be changed into a prime (84272257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219841 + ... + 220223.

It is an arithmetic number, because the mean of its divisors is an integer number (2545920).

Almost surely, 284272256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122204160).

84272256 is an abundant number, since it is smaller than the sum of its proper divisors (160136064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84272256 is a wasteful number, since it uses less digits than its factorization.

84272256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 579 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 84272256 is about 9179.9921568594. The cubic root of 84272256 is about 438.4245586257.

The spelling of 84272256 in words is "eighty-four million, two hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 191 192 288 382 383 384 573 576 764 766 1146 1149 1152 1528 1532 1719 2292 2298 3056 3064 3438 3447 4584 4596 6112 6128 6876 6894 9168 9192 12224 12256 13752 13788 18336 18384 24448 24512 27504 27576 36672 36768 49024 55008 55152 73153 73344 73536 110016 110304 146306 147072 219459 220032 220608 292612 438918 441216 585224 658377 877836 1170448 1316754 1755672 2340896 2633508 3511344 4681792 5267016 7022688 9363584 10534032 14045376 21068064 28090752 42136128 84272256